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Finding the Fourth Proportional to 825.79, 1,138.02 and 592.51

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Solution

The fourth proportional to 825.79, 1,138.02 and 592.51 is: 816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.79 : 1,138.02 = 592.51 : x
  2. Step 2: Convert to fraction form
    825.79/1,138.02 = 592.51/x
  3. Step 3: Cross multiply
    825.79x = 1,138.02 × 592.51
  4. Step 4: Simplify right side
    825.79x = 674,288.23
  5. Step 5: Solve for x
    x = 674,288.23/825.79
  6. Step 6: Final answer
    x = 816.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.